Answer :
Answer:
- 15
Step-by-step explanation:
Let the number is x, then we have:
- 6x - 19 = 4x + 11
- 6x - 4x = 11 + 19
- 2x = 30
- x = 15
Final answer:
The word problem has been translated to an equation 6x - 19 = 4x + 11, which, after solving, gives the result that the unknown number x is 15.
Explanation:
To translate the given word problem 'Nineteen less than six times a number is equal to 11 more than four times the number' into an equation, we first need to define a variable for the unknown number. Let's call this number x. The phrase 'six times a number' translates to 6x, and 'nineteen less than' indicates we should subtract 19, so we have 6x - 19. The other side of the equation is '11 more than four times the number', which translates to 4x + 11. The complete equation is:
6x - 19 = 4x + 11
To solve for x, we can follow these steps:
- Subtract 4x from both sides of the equation to get: 2x - 19 = 11
- Add 19 to both sides to isolate the variable term: 2x = 30
- Divide both sides by 2 to find the value of x: x = 15
So, the number we are looking for is 15.
